Self-stabilization of extra dimensions
Abstract
We show that the problem of stabilization of extra dimensions in Kaluza-Klein type cosmology may be solved in a theory of gravity involving high-order curvature invariants. The method suggested (employing a slow-change approximation) can work with a rather general form of the gravitational action. As examples, we consider pure gravity with Lagrangians quadratic and cubic in the scalar curvature and some more complex ones in a simple Kaluza-Klein framework. After a transition to the 4D Einstein conformal frame, this results in effective scalar field theories with certain effective potentials, which in many cases possess positive minima providing stable small-size extra dimensions. Estimates made in the original (Jordan) conformal frame show that the problem of a small value of the cosmological constant in the present Universe is softened in this framework but is not solved completely.
- Publication:
-
Physical Review D
- Pub Date:
- June 2006
- DOI:
- arXiv:
- arXiv:gr-qc/0510107
- Bibcode:
- 2006PhRvD..73l4019B
- Keywords:
-
- 04.50.+h;
- 98.80.-k;
- 98.80.Cq;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Cosmology;
- Particle-theory and field-theory models of the early Universe;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 10 pages, 4 figures, revtex4. Version with additions and corrections, accepted at Phys. Rev. D